Three families of two-parameter means constructed by trigonometric functions
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Publication:2250326
DOI10.1186/1029-242X-2013-541zbMath1297.26071OpenAlexW2096128505WikidataQ59302138 ScholiaQ59302138MaRDI QIDQ2250326
Publication date: 7 July 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2013-541
Means (26E60) Monotonic functions, generalizations (26A48) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)
Related Items (33)
Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means ⋮ New Cusa-Huygens type inequalities ⋮ Refinements of bounds for the arithmetic mean by new Seiffert-like means ⋮ A method to prove inequalities and its applications ⋮ Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications ⋮ Index of a bivariate mean and applications ⋮ On some inequalities involving three or more means ⋮ Sharp power-type Heronian mean bounds for the Sándor and Yang means ⋮ New sharp inequalities of Mitrinovic-Adamovic type ⋮ Lazarević and Cusa type inequalities for hyperbolic functions with two parameters and their applications ⋮ Sharp bounds for Sándor-Yang means in terms of quadratic mean ⋮ A note on Jordan, Adamović-Mitrinović, and Cusa inequalities ⋮ A sharp double inequality for trigonometric functions and its applications ⋮ Sharp inequalities for trigonometric functions ⋮ Unnamed Item ⋮ Sharp Cusa type inequalities with two parameters and their applications ⋮ New bounds of sinc function by using a family of exponential functions ⋮ Sharp inequalities for tangent function with applications ⋮ Wilker inequalities of exponential type for circular functions ⋮ Sharp one-parameter mean bounds for Yang mean ⋮ Best possible bounds for Yang mean using generalized logarithmic mean ⋮ Optimal power mean bounds for the second Yang mean ⋮ Optimal bounds for two Sándor-type means in terms of power means ⋮ Sharp one-parameter geometric and quadratic means bounds for the Sándor-Yang means ⋮ Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions ⋮ Sharp bounds for Sándor-Yang means in terms of one-parameter family of bivariate means ⋮ Improvements of bounds for the Sándor-Yang means ⋮ Optimal two-parameter geometric and arithmetic mean bounds for the Sándor-Yang mean ⋮ Sharp power mean bounds for two Sándor-Yang means ⋮ Means produced by distances ⋮ Bounding the Sándor-Yang means for the combinations of contraharmonic and arithmetic means ⋮ Optimal power mean bounds for Yang mean ⋮ Inequalities for certain means in two arguments
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